85763520 has 168 divisors, whose sum is σ = 299002704. Its totient is φ = 22560768.

The previous prime is 85763519. The next prime is 85763533. The reversal of 85763520 is 2536758.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279207 + ... + 279513.

It is an arithmetic number, because the mean of its divisors is an integer number (1779778).

Almost surely, 2^85763520 is an apocalyptic number.

85763520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149501352).

85763520 is an abundant number, since it is smaller than the sum of its proper divisors (213239184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85763520 is a wasteful number, since it uses less digits than its factorization.

85763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85763520 is about 9260.8595713357. The cubic root of 85763520 is about 440.9955419359.

The spelling of 85763520 in words is "eighty-five million, seven hundred sixty-three thousand, five hundred twenty".